Defining a probability distribution function for construction simulation

Journal of Construction Engineering and Management

Volumn 126, Issue 3, 2000, Pages 234-241

  Fente, Javier ^a   Schexnayder, Cliff ^a   Knutson, Kraig ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041545750     PISSN: 07339364     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9364(2000)126:3(234)     Document Type: Article

References (29)

1. AbouRizk, S. M., and Halpin, D. W. (1992). "Statistical properties of construction duration data." J. Constr. Engrg. and Mgmt., ASCE, 118(3), 525-543.
2. AbouRizk, S. M., Halpin, D. W., and Wilson, J. R. (1991). "Visual interactive fitting of beta distributions." J. Constr. Engrg. and Mgmt., ASCE, 117(4), 589-605.
3. AbouRizk, S. M., Halpin, D. W., and Wilson, J. R. (1994). "Fitting beta distributions based on sample data." J. Constr. Engrg. and Mgmt., ASCE, 120(2), 288-305.
4. Alpert, M., and Raiffa, H. (1969). "A progess report on the training of probability assessors." Judgement under uncertainty: heuristics and biases. Cambridge University Press, Cambridge, U.K., 294-305.
5. Apostolakis, G., and Mosleh, A. (1979). "Expert opinion and statistical evidence: an application to reactor core melt frequency." Nuclear Sci. and Engrg., 70, 135-149.
6. Apostolakis, G., and Mosleh, A. (1982). "Some properties of distributions useful in the study of rare events." IEEE Trans. on Reliability, 31(1), 87-94.
7. Beckman, R. J., and Tietjen, G. L. (1978). "Maximum likelihood estimation for the beta distribution." J. Statistical Computational Simulation, 7, 253-258.
8. BestFit Software on line help. (1993). Palisade Corporation, New York.
9. Carnahan, J. V. (1989). "Maximum likelihood estimation for the 4-parameter beta distribution." Communication Statistical Simulation, 18(2), 513-516.
10. Duran, B. S., and Booker, J. M. (1988). "A Bayes sensitivity analysis when using the beta distribution as a prior." IEEE Trans. on Reliability, 37(2), 239-247.
11. Farid, F., and Aziz, T. (1993). "Simulating paving fleets with non-stationary travel." Proc. 5th Int. Conf. on Camp. in Civ. Engrg., ASCE, New York, 1198-1206.
12. Farid, F., and Koning, T. L. (1994). "Simulation verifies queueing program for selecting loader-truck fleets." J. Constr. Engrg. and Mgmt., ASCE, 120(2), 386-404.
13. Fielitz, B. D., and Myers, B. L. (1975). "Estimation of parameters in the beta distribution." Decision Sci., 6, 1-13.
14. Gnanadesikan, R., Pinkham, R. S., and Hughes, L. P. (1967). "Maximum likelihood estimation of the parameters of the beta distribution from smallest order statistics." Technometrics, 9(4), 617-620.
15. Klein, R. W., and Baris, P. M. (1990). "Selecting and generating variates for modeling service times." Res. Memorandum No. 90-2, Purdue University, West Lafayette, Ind.
16. Lichtenstein, S., Fischhoff, B., and Phillips, L. D. (1977). "Calibration of probabilities: the state of the art to 1980." Judgement under uncertainty: heuristics and biases. Cambridge University Press, Cambridge, U.K., 306-334.
17. MacCrimmon, K. R., and Rayvec, C. A. (1964). "An analytical study of the PERT assumptions." Operations Res., 12(1), 16-37.
18. Maio, C. (1989). "Investigation of probability distribution functions for haul cycle simulation." MS thesis, Arizona State University, Tempe, Ariz.
19. Mykytka, E. F., and Ramberg, J. S. (1979). "Fitting a distribution to data using an alternative to moments." Proc., Winter Simulation Conf., 361-371.
20. O'Shea, J. F., Slutkin, G. N., and Shaffer, L. R. (1964). "An application of the theory of queues to the forecasting of shovel-truck fleet production." Constr. Res. Series No. 3, Dept. of Civ. Engrg., University of Illinois, Urbana, Ill.
21. Pearson, K. (1934). Tables of the incomplete beta function. University College, London.
22. Peterson, C., and Beach, L. R. (1967). "Man as an intuitive statistician." Psychol. Bulletin, 68, 29-46.
23. Peterson, C., and Miller, A. (1964). "Mode, median, and mean as optimal strategies." J. Experimental Psychol., 68(4), 363-367.
24. Pritsker, A. A. B. (1995). Introduction to simulation and SLAM II. Wiley, New York.
25. Romesburg, H. C. (1975). "Estimation of parameters in the beta distribution: comment." Decision Sci., 7, 162-164.
26. Swanson, L. A., and Pazer, H. L. (1971). "Implications of the underlying assumptions of PERT." Decision Sci., 2, 461-480.
27. Touran, A. (1997). "Probabilistic model for tunneling project using Markov chain." J. Constr. Engrg. and Mgmt., ASCE, 123(1), 444-449.
28. Weiler, H. (1965). "The use of the incomplete beta functions for prior distributions in binomial sampling." Technometrics, 7(3), 335-347.
29. Wilson, J. R., Vaughan, D. K., Naylor, E., Voss, R. G. (1982). "Analysis of space shuttle ground operations." Simulation, 38(6), 187-203.